What is the answer to |(x+1)/(x-2)|=2 ?

The answer to |(x+1)/(x-2)|=2 is x=1,x=5

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|(x+1)/(x-2)|=2

\frac{x + 1}{x - 2} = 2

x = 1, x = 5

Solution steps

\frac{x + 1}{x - 2} = 2

Simplify

\frac{x + 1}{x - 2} : \frac{∣ x + 1 ∣}{∣ x - 2 ∣}

\frac{∣ x + 1 ∣}{∣ x - 2 ∣} = 2

Multiply both sides by

∣ x - 2 ∣

∣ x + 1 ∣ = 2 ∣ x - 2 ∣

Solve

∣ x + 1 ∣ = 2 ∣ x - 2 ∣ : x = 1 or x = 5

x = 1, x = 5

Verify Solutions

Find undefined (singularity) points:

x = 2

Combine undefined points with solutions:

x = 1, x = 5

\frac{1}{x} = 0.1

2 = x^{- 1}

\frac{1}{x - 2} + 3 = x + 1

2 + \frac{3}{x} = \frac{11}{4}

\frac{5}{x} + \frac{x}{3} = 4

What is the answer to |(x+1)/(x-2)|=2 ?
The answer to |(x+1)/(x-2)|=2 is x=1,x=5
Solve for x: |(x+1)/(x-2)|=2
The solution is x=1,x=5